What is the Least Common Multiple of 91638 and 91656?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 91638 and 91656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91638 and 91656, than apply into the LCM equation.

GCF(91638,91656) = 18
LCM(91638,91656) = ( 91638 × 91656) / 18
LCM(91638,91656) = 8399172528 / 18
LCM(91638,91656) = 466620696

Least Common Multiple (LCM) of 91638 and 91656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91638 and 91656. First we will calculate the prime factors of 91638 and 91656.

Prime Factorization of 91638

Prime Factorization of 91656

Now multiplying the highest exponent prime factors to calculate the LCM of 91638 and 91656.

LCM(91638,91656) = 2³ × 3³ × 1697¹ × 19¹ × 67¹
LCM(91638,91656) = 466620696